Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

Approximation theory and asymptotic methods form a foundational framework that bridges classical ideas with modern numerical analysis, enabling researchers to obtain practical, near‐optimal solutions ...

Description: This is a differential equations course designed to follow MA 265-266. Same description as MA 303 except that material on the qualitative behavior of solutions to nonlinear systems is ...

Surface water and groundwater form an interconnected hydrological system, where pollutant migration—especially that of emerging pollutants (e.g., PFAS, ...

We extend and unify Fourier-analytic methods for pricing a wide class of options on any underlying state variable whose characteristic function is known. In this ...